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4492119100 = 2252721753927
BaseRepresentation
bin1000010111100000…
…00100110000111100
3102121001201021221111
410023300010300330
533144440302400
62021425411404
7216214245100
oct41360046074
912531637844
104492119100
1119a5758627
12a54499b64
13567877651
14308857900
151b45833ba
hex10bc04c3c

4492119100 has 108 divisors (see below), whose sum is σ = 12006637776. Its totient is φ = 1449530880.

The previous prime is 4492119089. The next prime is 4492119101. The reversal of 4492119100 is 19112944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492119101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56337 + ... + 110263.

It is an arithmetic number, because the mean of its divisors is an integer number (111172572).

Almost surely, 24492119100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4492119100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003318888).

4492119100 is an abundant number, since it is smaller than the sum of its proper divisors (7514518676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4492119100 is a wasteful number, since it uses less digits than its factorization.

4492119100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53972 (or 53958 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 4492119100 is about 67023.2728236991. The cubic root of 4492119100 is about 1649.9992776244. Note that the first 3 decimals are identical.

The spelling of 4492119100 in words is "four billion, four hundred ninety-two million, one hundred nineteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 68 70 85 98 100 119 140 170 175 196 238 245 340 350 425 476 490 595 700 833 850 980 1190 1225 1666 1700 2380 2450 2975 3332 4165 4900 5950 8330 11900 16660 20825 41650 53927 83300 107854 215708 269635 377489 539270 754978 916759 1078540 1348175 1509956 1833518 1887445 2642423 2696350 3667036 3774890 4583795 5284846 5392700 6417313 7549780 9167590 9437225 10569692 12834626 13212115 18335180 18874450 22918975 25669252 26424230 32086565 37748900 44921191 45837950 52848460 64173130 66060575 89842382 91675900 128346260 132121150 160432825 179684764 224605955 264242300 320865650 449211910 641731300 898423820 1123029775 2246059550 4492119100